Quantization, classical and quantum field theory, and theta functions / Andrei Tyurin.

Format:

Book

Author/Creator:

Tyurin, Andrej, author.

Series:

CRM monograph series ; Volume 21.

CRM Monograph Series ; Volume 21

Language:

English

Subjects (All):

Geometric quantization.

Quantum field theory.

Functions, Theta.

Physical Description:

1 online resource (137 pages) : illustrations.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2003.

Summary:

This book is written by a well-known expert in classical algebraic geometry. Tyurin's research was specifically in explicit computations to vector bundles on algebraic varieties. This is the only available monograph written from his unique viewpoint. Ordinary (abelian) theta functions describe properties of moduli spaces of one-dimensional vector bundles on algebraic curves. Non-abelian theta functions, which are the main topic of this book, play a similar role in the study ofhigher-dimensional vector bundles. The book presents various aspects of the theory of non-abelian theta functions and the moduli spaces of vector bundles, including their applications to problems of quantization and to classical and quantum conformal field theories. The book is an important source ofinformation for specialists in algebraic geometry and its applications to mathematical aspects of quantum field theory.

Notes:

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-3866-6